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Finding the Fourth Proportional to 745.67, 1,118.54 and 197.91

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Solution

The fourth proportional to 745.67, 1,118.54 and 197.91 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.67 : 1,118.54 = 197.91 : x
  2. Step 2: Convert to fraction form
    745.67/1,118.54 = 197.91/x
  3. Step 3: Cross multiply
    745.67x = 1,118.54 × 197.91
  4. Step 4: Simplify right side
    745.67x = 221,370.75
  5. Step 5: Solve for x
    x = 221,370.75/745.67
  6. Step 6: Final answer
    x = 296.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.